System with Hysteresis：Analysis and Identification Using Bouc-Wen Model
Date Issued
2008
Date
2008
Author(s)
Tsao, Heng-Shuo
Abstract
One of the widely accepted models is a differential model of hysteresis proposed by Bouc, Wen, and Baber et al. In this model, the applied force and deformation are connected through a nonlinear differential equation containing unspecified loop parameters. We have the interested in the change of hysteresis loop parameters which have the relationship with the response of the Bouc-Wen Model. On the other hand, another interesting topic is taking the simulation response data to do signal analysis, or numerical analysis, whether the result have the relationship with the hysteresis loop parameters that are existed. To estimate the inelastic behavior of a nonlinear system through the analysis (feature extraction) of response measurements. Find the correlation between the features extracted from measurements and the physical nonlinear characteristics. This study presents the response analysis result of a single degree of freedom nonlinear system that has the relationship with the hysteresis loop parameters in the Bouc-Wen Model. First, we used the Newmark’s β Method to calculate the nonlinear system response of the Bouc-Wen Model. Second, using the input and output data to identify the parameters of the nonlinear system. In this study, we use two kinds of the system identification method, one is the Least Square Method, and another is Extended Kalman Filter. Finally, we took the input data, output data, and parameters of the nonlinear system to do signal analysis. In this study, we used the Frequency Response Function and its Hilbert Transform, Absolute Energy Equation, and Wavelet Analysis for signal analysis. As a result, most of the signal analysis result may observe the relationship with the parameters of the Bouc-Wen Model.
Subjects
hysteresis loop parameters
Bouc-Wen Model
Least Square Method
Extended Kalman Filter
Absolute Energy Equation
Wavelet Analysis
Type
thesis
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